LCM of 909, 779, 744, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 779, 744, 977 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 909, 779, 744, 977. So, keep reading to learn more.
Given numbers are 909,779,744,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,779,744,977 is 171572462856.
Find LCM of 909,779,744,977 with Prime Factorization
| 3 | 909, 779, 744, 977 |
| 303, 779, 248, 977 |
Multiply the prime numbers at the bottom and the left side.
3 x 303 x 779 x 248 x 977 = 171572462856
Therefore, the lowest common multiple of 909,779,744,977 is 171572462856.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
909 x 779 x 744 x 977 = 514717388568
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
909 : 1, 3, 9, 101, 303, 909
779 : 1, 19, 41, 779
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,779,744,977, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
779:19x 41
744:2x 2x 2x 3x 31
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 514717388568/(1x3)
LCM = 514717388568/3
LCM = 171572462856
Thus, we can understand that the LCM of 909,779,744,977 is 171572462856.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 909, 779, 744, 977
1. What is the LCM of 909, 779, 744, 977?
Answer: LCM of 909, 779, 744, 977 is 171572462856.
2. How to calculate the LCM of 909, 779, 744, 977?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 909, 779, 744, 977.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.